DQ1 came out on nes/famicom, not snes/super famicom, which is what their console roughly resembles, so its hard to make comparisons.
if it is in a very similar world to our own, but the timelines diverged about 30 years prior to the events of the comic, that would mean the snes and DQ game might be 60-ish years old, since we have yet to have the war they talk about happening "30 years ago". my best guess is that they are somewhere around 2050, so it could possibly be grandpa's childhood console.